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4.28 Failing to detect drug use. In Example 4.15, we considered how drug tests can indicate...

4.28 Failing to detect drug use. In Example 4.15, we considered how drug tests
can indicate illegal drug use when no illegal drugs were actually used. Consider

now another type of false test result. Suppose an employee is suspected of hav-
ing used an illegal drug and is given two tests that operate independently of each

other. Test A has probability 0.9 of being positive if the illegal drug has been
used. Test B has probability 0.8 of being positive if the illegal drug has been
used. What is the probability that neither test is positive if the illegal drug has
been used?

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